The investigation was opened after a missing person report was filed on Wednesday. Reports have alleged that it was filed by former Church of Scientology member, "King of Queens" actress and former "The Talk" co-host Leah Remini (pictured left with Shelly).

Earlier on Thursday, an LAPD rep confirmed to the TheWrap that it was investigating a missing person report filed on Miscavige, who is married to the Church's leader David Miscavige.

Representatives for Remini and the Church didn't immediately respond to TheWrap's request for comment.

According to blogger Tony Ortega, Remini -- who recently left the controversial religion -- filed the report after Shelly had not been seen in public in six years. The writer goes on to report that David's attendance at Tom Cruise and Katie Holmes' wedding in 2006 without his wife piqued Remini's curiosity. And when she asked where Shelly was, she was told she didn't have the rank to ask such a question.